Simplifying and Solving Using Tiles

Simplify using tiles
positive tiles are shaded/negative tiles are "white"

•  $3y^2+1$  

•  $-y^2+y+1$  

•  $y^2+1$  

•  $y^2-2y^2+2y+3$  

 $x+y+xy-\left(-2-y-x\right)$  Simplify the following expression using tiles:

•  $x+y+xy+2$  

•  $xy+2$  

•  $xy-2$  

•  $2x+2y+xy+2$  

Simplify the following expression using tiles:
 $4x^2+3x-\left(-y^2+4x-5\right)$  

•  $4x^2-x+y^2+5$  

•  $4x^2+7x+y^2-5$  

•  $5xy^2-x+5$  

•  $4x^2-y^2+x-5$  

Simplify the following expression using tiles:
 $-3x^2+4y^2+x^2-\left(-2x^2+3y^2\right)$  

•  $6x^2+7y^2$  

•  $7y^2$  

• 0

•  $y^2$  

Simplify the following expression using tiles:
 $4-2x^2+\left(4x^2-x^2+3\right)$  

•  $x^2+7$  

•  $-5x^2+1$  

•  $7x^2+7$  

•  $-x^2-7$  

Solve the equation for x:
 $x\ +\ 4\ =\ -\left(x\ +\ 6\right)$  

• x = -5

• x = 5

• x = 1

• x = -1

Solve the following for y:
 $-y+\ 4\ +\ y\ =\ -7\ -y\ -\ 3\$  

• y = 0 

• y = 14

• y = 5

• y = - 14

Solve the following equation for x:
 $2x-\left(-2x+3\right)=3x-8$  

• x = -5 

• x = 5 

• x = 11

• x = -4

Solve the following for y:
 $-7-\left(y-4\right)=-5-2\left(y-1\right)$  

• y = -1

• y = 0

• y = 1

• y = x

Solve the following for x:
 $2\left(x-5+2\right)=6-2\left(x+4\right)$  

• x = -7

• x = 3 

• x = 0 

• x = 1